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Triangles

Maharashtra Board · Class 9 · Mathematics

Practice quiz for Triangles — Maharashtra Board Class 9 Mathematics. MCQs and questions with answers to test your preparation.

45 questions25 flashcards5 concepts

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Quick Quiz: Triangles

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1

In triangle ABC, if AB = 5 cm, BC = 12 cm, and AC = 13 cm, what type of triangle is ABC?

2

In triangle PQR, if ∠P = 30°, ∠Q = 90°, and PQ = 6 cm, find the length of PR (hypotenuse).

3

In triangle XYZ, if XY = 7 cm, YZ = 24 cm, and XZ = 25 cm, find the length of the median from Y to side XZ.

4

In triangle PQR, if PQ = 8 cm, QR = 15 cm, and PR = 17 cm, find the area of the triangle using Heron's formula.

45 Questions·
multiple choicemultiple correcttext answertrue falsematchingordering

Sample Questions

1multiple correct

Which of the following are valid tests for triangle congruence? (Select all correct answers)

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SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), RHS (Right angle-Hypotenuse-Side)

Valid congruence tests are: SSS (all three sides equal), SAS (two sides and included angle), ASA (two angles and included side), and RHS (for right triangles). AAA only shows similarity, not congruence, as triangles can have same angles but different sizes.

2text answer

If triangle ABC is isosceles with AB = AC = 10 cm and BC = 12 cm, find the length of the altitude from A to BC.

3true false

The exterior angle of a triangle is always greater than either of its remote interior angles.

Show answer

True

This is the exterior angle theorem property. An exterior angle equals the sum of its two remote interior angles, so it must be greater than either individual remote interior angle. If exterior angle = angle1 + angle2, then exterior angle > angle1 and exterior angle > angle2.

4matching

Match each triangle type with its angle property:

Show answer

Equilateral triangle - All angles are 60°

Equilateral triangles have all sides equal, so all angles are 60°. Isosceles triangles have two equal sides, so two base angles are equal. Right triangles have one 90° angle. Scalene triangles have all sides different, so all angles are different.

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Frequently Asked Questions

What are the important topics in Triangles for Maharashtra Board Class 9 Mathematics?
Triangles covers several key topics that are frequently asked in Maharashtra Board Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Triangles — Maharashtra Board Class 9 Mathematics?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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